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Literature DB >> 8688836

A mathematical model of periodically pulsed chemotherapy: tumor recurrence and metastasis in a competitive environment.

Abstract

A competition model describing tumor-normal cell interaction with the added effects of periodically pulsed chemotherapy is discussed. The model describes parameter conditions needed to prevent relapse following attempts to remove the tumor or tumor metastasis. The effects of resistant tumor subpopulations are also investigated and recurrence prevention strategies are explored.

Entities: Disease

Mesh：

Substances：
Antineoplastic Agents

Year: 1996 PMID： 8688836 DOI： 10.1007/bf02460591

Source DB: PubMed Journal: Bull Math Biol ISSN： 0092-8240 Impact factor: 1.758

22 in total

1. Tumor growth in partially hepatectomized rats.

Authors: K E PASCHKIS; A CANTAROW; J STASNEY; J H HOBBS
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2. A theoretical analysis of interval drug dosing for cell-cycle-phase-specific drugs.

Authors: L Cojocaru; Z Agur
Journal: Math Biosci Date: 1992-04 Impact factor: 2.144

3. Some optimal control problems in cancer chemotherapy with a toxicity limit.

Authors: J M Murray
Journal: Math Biosci Date: 1990-06 Impact factor: 2.144

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Authors: S Michelson; B E Miller; A S Glicksman; J T Leith
Journal: J Theor Biol Date: 1987-09-21 Impact factor: 2.691

5. Interlocking triads of growth control in tumors.

Authors: S Michelson; J T Leith
Journal: Bull Math Biol Date: 1995-03 Impact factor: 1.758

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Authors: L A Liotta
Journal: Sci Am Date: 1992-02 Impact factor: 2.142

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Authors: F R Miller; D Medina; G H Heppner
Journal: Cancer Res Date: 1981-10 Impact factor: 12.701

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Authors: J H Goldie; A J Coldman
Journal: Cancer Treat Rep Date: 1979 Nov-Dec

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Authors: G P Dotto; R A Weinberg; A Ariza
Journal: Proc Natl Acad Sci U S A Date: 1988-09 Impact factor: 11.205

10. Host-tumor interaction in ovarian cancer. Spontaneous release of tumor necrosis factor and interleukin-1 inhibitors by purified cell populations from human ovarian carcinoma in vitro.

Authors: R A Burger; E A Grosen; G R Ioli; M E Van Eden; H D Brightbill; M Gatanaga; P J DiSaia; G A Granger; T Gatanaga
Journal: Gynecol Oncol Date: 1994-11 Impact factor: 5.482

13 in total

A mathematical model of periodically pulsed chemotherapy: tumor recurrence and metastasis in a competitive environment.

1. Tumor growth in partially hepatectomized rats.

2. A theoretical analysis of interval drug dosing for cell-cycle-phase-specific drugs.

3. Some optimal control problems in cancer chemotherapy with a toxicity limit.

4. Tumor micro-ecology and competitive interactions.

5. Interlocking triads of growth control in tumors.

6. Cancer cell invasion and metastasis.

7. Preferential growth of mammary tumors in intact mammary fatpads.

8. A mathematic model for relating the drug sensitivity of tumors to their spontaneous mutation rate.

9. Malignant transformation of mouse primary keratinocytes by Harvey sarcoma virus and its modulation by surrounding normal cells.

10. Host-tumor interaction in ovarian cancer. Spontaneous release of tumor necrosis factor and interleukin-1 inhibitors by purified cell populations from human ovarian carcinoma in vitro.

1. A delay differential equation model for tumor growth.

Review 2. Evolution of acquired resistance to anti-cancer therapy.

3. Tumour chemotherapy strategy based on impulse control theory.

Review 4. The mathematics of cancer: integrating quantitative models.

5. Mass drug administration: the importance of synchrony.

6. The evolution of tumor metastases during clonal expansion.

7. The Impact of Microenvironmental Heterogeneity on the Evolution of Drug Resistance in Cancer Cells.

8. The evolution of tumor metastasis during clonal expansion with alterations in metastasis driver genes.

9. Evolution of resistance to targeted anti-cancer therapies during continuous and pulsed administration strategies.

10. Mathematical Modelling and Analysis of the Tumor Treatment Regimens with Pulsed Immunotherapy and Chemotherapy.